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Density of mercury at 0^(@)C is 13.5955g...

Density of mercury at `0^(@)C` is `13.5955g*cm^(-3)`. If the coefficient of linear expansion of mercury is `0.000061^(@)C^(-1)`, find its density at `60^(@)C.`

Text Solution

Verified by Experts

Given, `rho_(0)=13.5955g*cm^(-3), rho_(60)=?`
`gamma=3alpha=3 times 61 times 10^(-6@)C^(-1).`
Density of mercury at `60^(@)C,`
`rho_(60)=rho_(0)/(1+gammat)=13.5955/(1+3 times 61 times 10^(-6) times 60)`
`" "[therefore t=60^(@)-0^(@)=60^(@)]`
`" "=13.5955/(1+10980 times 10^(-6))=13.448g*cm^(-3).`
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